Olga Holtz
Regular biography
Olga Holtz is a Professor in the Department of Mathematics at the University of California, Berkeley. Her research interests include Applied Mathematics, Algebra, and Mathematical Analysis. She has published extensively in areas such as numerical analysis, matrix theory, algebra, and computational complexity. Notable publications include works on communication costs of Strassen's matrix multiplication and matrices that commute with their derivative. Holtz has supervised several PhD dissertations, including topics in zonotopal algebra and tropical linear spaces. Her contact information is holtz@math.berkeley.edu, and her personal website is https://math.berkeley.edu/people/faculty/olga-holtz.
Scholar-generated biography
Olga V. Holtz is a Professor of Mathematics at the University of California-Berkeley, specializing in Algebra, Analysis, Algorithms, Numerics, and Combinatorics. Her research focuses on the communication costs and numerical stability of algorithms in linear algebra, particularly in the context of parallel and sequential computations. She has contributed significantly to the development of communication-optimal algorithms for matrix multiplication and Cholesky decomposition. Her work also explores the interplay between structured matrices, continued fractions, and root localization of polynomials, as well as hyperdeterminantal relations and total positivity. Her research has implications for both theoretical and applied mathematics, with applications in numerical analysis and computational algebra.